contestada

1. Which of the following is equivalent to the inequality - 8 > 8x + 16 ?
Α. χ < -1
Β. x >-1
C. χ<-3
D. χ> 3
Ε. χ<3

Respuesta :

Answer:

x <  -3 is the solution for the given inequality - 8 > 8x + 16.

Step-by-step explanation:

Here, the given inequality is  - 8 > 8x + 16

Now, we know if equal (positives) are added, subtracted multiplied or divided on both sides of in equality, the signs remain unchanged.

⇒  - 8 > 8x + 16 is equivalent  to   - 8   + 8  > 8x + 16  + 8

or,  0 >  8x  + 24

⇔ -8x  > 8x + 24 - 8x

⇔ -8 x >  24

or, [tex]\frac{-8x}{-8}   <   \frac{24}{-8}[/tex] (REVERSE SIGN as dividing by a a negative number)

or, x < -3

or, x <  -3 is the solution for the given inequality.

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